GCD of 470, 702, 704, 940 Calculator

Given Input numbers are 470, 702, 704, 940

In the factoring method, we have to find the divisors of all numbers

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

GCD of numbers is the greatest common divisor

So, the GCD (470, 702, 704, 940) = 2.

Given numbers are 470, 702, 704, 940

The list of prime factors of all numbers are

Prime factors of 470 are 2 x 5 x 47

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 940 are 2 x 2 x 5 x 47

The highest common occurrence is 2¹

Therefore, GCD of 470, 702, 704, 940 is 2.

Given numbers are 470, 702, 704, 940

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(470, 702) = 164970

GCD(470, 702) = ( 470 x 702 ) / 164970

= 470 / 702

= 470

Step2:

LCM(2, 704) = 704

GCD(2, 704) = ( 2 x 704 ) / 704

= 2 / 704

= 2

Step3:

LCM(2, 940) = 940

GCD(2, 940) = ( 2 x 940 ) / 940

= 2 / 940

= 2

So, Greatest Common Divisor of 470, 702, 704, 940 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 747, 821, 553, 887
• GCD of 506, 344, 979, 879
• GCD of 847, 490, 531, 890
• GCD of 397, 876, 140, 964
• GCD of 308, 732, 204, 874

Given numbers are 470, 702, 704, 940
The greatest common divisor of numbers 470, 702, 704, 940 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 470, 702, 704, 940 is 2.

1. What is the GCD of 470, 702, 704, 940?

GCD of given numbers 470, 702, 704, 940 is 2

2. How to calculate the greatest common divisor of 470, 702, 704, 940?

We can find the highest common divisor of 470, 702, 704, 940 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 470, 702, 704, 940 i.e 2.

3. How can I use the GCD of 470, 702, 704, 940Calculator?

Out the numbers 470, 702, 704, 940 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.